Subsets with Generalized Derivations Having Nilpotent Values on Lie Ideals

DOI10.1080/00927872.2015.1087530zbMath1353.16039OpenAlexW2402074342MaRDI QIDQ2817209

Vincenzo De Filippis, Giovanni Scudo

Publication date: 29 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1087530

zbMATH Keywords

generalized derivationprime ringprimitive ringMartindale quotient ringnil idealsemiprimtive ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25)

Cites Work

• Nilpotent and invertible values in semiprime rings with generalized derivations.
• On the centralizers of ideals and nil derivations
• Differential identities of prime rings
• Center-like elements in prime rings
• Differential identities, Lie ideals, and Posner's theorems
• Prime rings satisfying a generalized polynomial identity
• The Symmetric Ring Of Quotients Of A Primitive Ring is Primitive
• Centralizers and Multilinear Polynomials in Non-Commutative Rings
• Generalized derivations of left faithful rings
• Generalized Derivations with Power-Central Values on Multilinear Polynomials

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